Replica wormholes and the black hole interior

A bstract Recent work has shown how to obtain the Page curve of an evaporating black hole from holographic computations of entanglement entropy. We show how these computations can be justified using the replica trick, from geometries with a spacetime wormhole connecting the different replicas. In a simple model, we study the Page transition in detail by summing replica geometries with different topologies. We compute related quantities in less detail in more complicated models, including JT gravity coupled to conformal matter and the SYK model. Separately, we give a direct gravitational argument for entanglement wedge reconstruction using an explicit formula known as the Petz map; again, a spacetime wormhole…

• NS
  National Science Foundation

  Awards: 1720397, PHY-1720397
• UD
  U.S. Department of Energy

  Award: DE-SC0019380
• SF
  Simons Foundation
• AF
  Air Force Office of Scientific Research

  Awards: FA9550-, FA9550-16-1-0082, FA9550-16, -16-1-, FA9550-16-1, FA9550